%0 Journal Article %T 广义向量变分不等式的间隙函数与误差界<br>Gap functions and error bounds for generalized vector variational inequalities %A 陈霞 %A 陈纯荣< %A br> %A CHEN Xia %A CHEN Chun-rong %J 山东大学学报(理学版) %D 2017 %R 10.6040/j.issn.1671-9352.0.2016.469 %X 摘要: 利用线性标量化方法构造广义向量变分不等式的间隙函数,并利用广义f-投影算子的性质验证了正则间隙函数。在广义强伪单调的条件下得到了误差界结论。<br>Abstract: Gap functions for generalized vector variational inequalities were established via linear scalarization approaches. By using some properties of generalized f-projection operators, the regularized gap function was verified. With the condition of the generalized strong pseudomonotonicity, error bounds were obtained %K 间隙函数 %K 广义向量变分不等式 %K 误差界 %K 广义强伪单调性 %K 广义< %K i> %K f< %K /i> %K -投影算子 %K < %K br> %K gap function %K error bound %K generalized vector variational inequalities %K generalized strong pseudomonotonicity %K generalized f-projection %U http://lxbwk.njournal.sdu.edu.cn/CN/10.6040/j.issn.1671-9352.0.2016.469